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Finding the Third Proportional to 256,610 and 618,197

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Solution

The third proportional to 256,610 and 618,197 is: 1,489,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,610 : 618,197 = 618,197 : x
  2. Step 2: Convert to fraction form
    256,610/618,197 = 618,197/x
  3. Step 3: Cross multiply
    256,610x = 618,197 × 618,197
  4. Step 4: Simplify right side
    256,610x = 382,167,530,809
  5. Step 5: Solve for x
    x = 382,167,530,809/256,610
  6. Step 6: Final answer
    x = 1,489,293.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.